Great work as always Jeff, though I've long felt their should be a fourth category added to the three well known types of carrier, and if things had gone differently in the 60s we would have seen it. The best way to get a heavily laden aircraft off the deck is by catapult (max weapon and fuel loads leaves the deck at flying speed), followed by the ski jump (restricted fuel or weapon loads, but increased safety in case of engine failure on takeoff) and then the flat rolling takeoff (for a ctol type you'd need the whole length of the deck and you couldn't take any weapons or much fuel with you!). At the other end of operations, vertical landing is the safest form of recovery (you stop, then land at a gentle pace) and 'trapping' with arrestor wires is the most dangerous (you land then stop. Really fast! Danger of wires breaking killing deck crew and losing the plane).
So why has no one thought of combining the two safest and most efficient mthods of takeof and recovery? Well we did back in the sixties. The Supersonic Harrier P1154RN was designed to be launched by catapult from existing carriers (and was the first RN aircraft designed for nose tow launching) in order to takeoff with a full weapons and fuel load. Recovery was to be vertical, already proven with the first trials of the P1127 aboard Ark Royal R09 in 1963. Arrestor wires were to be retained aboard the carriers as conventional types such as the Buccaneer, Gannet and visiting USN aircraft were still to be operated, but this was seen as a first step towards a new method of deck ops. CATOVL? A great 'what if' certainly.